software.com] On Behalf Of Linda Alvord
Sent: Thursday, August 23, 2012 9:16 AM
To: programm...@jsoftware.com
Subject: Re: [Jprogramming] Creating random symmetric matrices
I just saw the advantage of the dyad definition. You can see where the
variables are.
Now my question is "Why wo
om: programming-boun...@forums.jsoftware.com
[mailto:programming-boun...@forums.jsoftware.com] On Behalf Of Linda Alvord
Sent: Thursday, August 23, 2012 9:05 AM
To: programm...@jsoftware.com
Subject: Re: [Jprogramming] Creating random symmetric matrices
What is the advantage of a "dyad" definition?
inal Message-
From: programming-boun...@forums.jsoftware.com
[mailto:programming-boun...@forums.jsoftware.com] On Behalf Of Ric Sherlock
Sent: Thursday, August 23, 2012 6:50 AM
To: programm...@jsoftware.com
Subject: Re: [Jprogramming] Creating random symmetric matrices
I think your analogy i
By observing that triang@i. is the same as +/\@i. we could turn Ewart's
gem into
rsm =: (((>. |:)@(+/) { normalrand@({: + #)@]) +/\)@i.
I'm not sure that's prettier; it uses the arcane ({: + #) to do the work
of a single triang; but it might be a good form for a 'symmetric matrix
of anything
---Original Message-
> From: programming-boun...@forums.jsoftware.com
> [mailto:programming-boun...@forums.jsoftware.com] On Behalf Of bill lam
> Sent: Thursday, August 23, 2012 6:10 AM
> To: programm...@jsoftware.com
> Subject: Re: [Jprogramming] Creating random symmetric matrices
>
> machine
...@forums.jsoftware.com
[mailto:programming-boun...@forums.jsoftware.com] On Behalf Of bill lam
Sent: Thursday, August 23, 2012 6:10 AM
To: programm...@jsoftware.com
Subject: Re: [Jprogramming] Creating random symmetric matrices
machine translation is [:-:]*>: while that from Shaw is -:@(*>:
of these two versions is optimal?
>
> Linda
>
>
> -Original Message-ow
> From: programming-boun...@forums.jsoftware.com
> [mailto:programming-boun...@forums.jsoftware.com] On Behalf Of Ric Sherlock
> Sent: Thursday, August 23, 2012 3:18 AM
> To: programm...@jsoftware
...@forums.jsoftware.com] On Behalf Of Ric Sherlock
> Sent: Thursday, August 23, 2012 3:18 AM
> To: programm...@jsoftware.com
> Subject: Re: [Jprogramming] Creating random symmetric matrices
>
> Hi Linda,
> Basically tacit definitions contain no reference to their arguments.
> htt
inda
-Original Message-ow
From: programming-boun...@forums.jsoftware.com
[mailto:programming-boun...@forums.jsoftware.com] On Behalf Of Ric Sherlock
Sent: Thursday, August 23, 2012 3:18 AM
To: programm...@jsoftware.com
Subject: Re: [Jprogramming] Creating random symmetric matrices
Hi Li
:programming-boun...@forums.jsoftware.com] On Behalf Of Ric Sherlock
> Sent: Wednesday, August 22, 2012 9:36 PM
> To: programm...@jsoftware.com
> Subject: Re: [Jprogramming] Creating random symmetric matrices
>
> Just a pedantic nitpick with regard to terminology here.
> Ewart
Behalf Of Ric Sherlock
> Sent: Wednesday, August 22, 2012 9:36 PM
> To: programm...@jsoftware.com
> Subject: Re: [Jprogramming] Creating random symmetric matrices
>
> Just a pedantic nitpick with regard to terminology here.
> Ewart's verbs were already tacit. I think the
Behalf Of Ric Sherlock
Sent: Wednesday, August 22, 2012 9:36 PM
To: programm...@jsoftware.com
Subject: Re: [Jprogramming] Creating random symmetric matrices
Just a pedantic nitpick with regard to terminology here.
Ewart's verbs were already tacit. I think the key thing that your versions
show i
; ([: >. [: |: i.) +/ [: tri i.
>
> Linda
>
>
> -Original Message-
> From: programming-boun...@forums.jsoftware.com
> [mailto:programming-boun...@forums.jsoftware.com] On Behalf Of Henry Rich
> Sent: Wednesday, August 22, 2012 6:46 PM
> To: programm...@jsoftware.com
> S
gramming-boun...@forums.jsoftware.com
[mailto:programming-boun...@forums.jsoftware.com] On Behalf Of Henry Rich
Sent: Wednesday, August 22, 2012 6:46 PM
To: programm...@jsoftware.com
Subject: Re: [Jprogramming] Creating random symmetric matrices
Why yes, that's much better. Very clever way of filling
Why yes, that's much better. Very clever way of filling the triangle.
Henry Rich
On 8/22/2012 4:28 PM, Ric Sherlock wrote:
Note that Ewart Shaw has responded to this on the Wiki with a solution
that only generates the required number of random numbers:
http://www.jsoftware.com/jwiki/EwartShaw/
Note that Ewart Shaw has responded to this on the Wiki with a solution
that only generates the required number of random numbers:
http://www.jsoftware.com/jwiki/EwartShaw/RandomSymmetricMatrix
On Wed, Aug 22, 2012 at 5:30 PM, Ric Sherlock wrote:
> The other option is not to add them in the first
lues and with random
eigenvector basis?
- Bo.
>
> Fra: Ric Sherlock
>Til: programm...@jsoftware.com
>Sendt: 7:30 onsdag den 22. august 2012
>Emne: Re: [Jprogramming] Creating random symmetric matrices
>
>The other option is not to add t
The other option is not to add them in the first place?
load 'stats/distribs'
(|: + ~: zeroTri ) >: zeroTri rnorm 5 5
0.346799 _1.221610.57274 0.556122 _0.329658
_1.22161 0.149955 _1.77435 _1.76668 0.831557
0.57274 _1.774350.77674 _0.0690683 _0.967551
0.556122 _1.76668 _0
You read my mind. I was thinking about this same problem tonight while at the
opera, and I couldn't think of any way to only divide the diagonals by sqrt(2)
a second time--without loops, of course. I don't quite yet understand why your
solution works, but I'm sure with enough staring and diction
If you have a matrix a of standard normal deviates, you can make it
symmetric with
asymm =: (+ |:) a
but what is the variance of the items of a?
The variance of values off the principal diagonal will be the sum of the
variance of two independent standard normal deviates. i.e. 2.
To return t
Ah, just what I needed. Thanks!
On Aug 21, 2012, at 1:06 PM, Ric Sherlock wrote:
> The primitive ( |: ) is transpose. E.g. :
>
> |: i. 3 4
> 0 4 8
> 1 5 9
> 2 6 10
> 3 7 11
> On Aug 22, 2012 6:55 AM, "Owen Marschall" wrote:
>
>> Anyone know of an easy way to create a random symmetric matri
The primitive ( |: ) is transpose. E.g. :
|: i. 3 4
0 4 8
1 5 9
2 6 10
3 7 11
On Aug 22, 2012 6:55 AM, "Owen Marschall" wrote:
> Anyone know of an easy way to create a random symmetric matrix (more
> specifically, a matrix whose entires are each picked from a standard
> Gaussian distributio
Anyone know of an easy way to create a random symmetric matrix (more
specifically, a matrix whose entires are each picked from a standard Gaussian
distribution)? I can start by doing
load 'stats'
R=:normalrand N N
but this is not symmetric, and I don't know of any way to symmetrize it without
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